Unitary matrices associated with Butson-Hadamard matrices

24 Feb 2020 Méndez Alberto Martín

We give an example of a BH(5; 5) matrix M satisfying that the eigenvalues of the unitary matrix $\frac{1}{\sqrt5}M$ are all primitive 10-th roots of unity and such that $\frac{1}{5}M^3$ is not a BH(5; 5) matrix. This example gives a negative answer to a conjecture proposed by R. Egan and P. O. Cathain...

PDF Abstract
No code implementations yet. Submit your code now